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there are 5 questions each carrying 10 marks relating to statistics. my requirement is to have it solved as per the instructions and with complete calculations. the questions are in word problem style and this is urgent work that needs to be submitted tomorrow at Australian time. I need someone who could complete it fast so that I would able to submit it on time.
Attachments
Student Number: (enter on the line below)
Student Name: (enter on the line below)
HI6007
statistics for business DECISIONS
final assessmeNt
Trimester 3, 2022
TIME ALLOWED: 24 hours
Assessment Weight: 50 total marks
Instructions:
· All questions must be answered by using the answer boxes provided in this paper.
· Completed answers must be submitted to Blackboard by the published due date and time.
· Use statistical table and formula sheet given in the additional resource folder in Blackboard
Please ensure you follow the submission instructions at the end of this paper.
Purpose:
This assessment consists of five (5) questions and is designed to assess your level of knowledge of the key topics covered in this unit.
HI6007 Final Assessment T3 2022
Question 1 (10 marks)
i. Discuss the importance of statistics in business research with relevant examples.
(3 marks)
ANSWER: ** Answer box will enlarge as you type
ii. Fair Hevan Mutual fund cooperation provides investment services over 10-year period. The table below has information on some of the mutual funds they holds.
Fund
Number of funds
Total return (%)
A
9651
4.7
B
2752
18.5
C
1490
11.6
D
3045
6.9
a) Based on number of funds in each category, Calculate the weighted average total return. (3 marks)
ANSWER a:
b) What are the other possible measures for weights, if number of mutual funds is not the best option. (2 marks)
ANSWER b:
c) Based on the following details on investment, calculate the expected retrun of the portfolio. (2 marks)
Fund
Investment($)
A
2000
B
4000
C
3000
D
1000
ANSWER c:
Question 2 (10 marks)
The supply chain manager of a fresh food product company in Australian wants to determine whether the business plant location has any effect on operating cost. The manager has considered Melbourne, Sydney, Brisbane and Adelaide business plants and their operating costs over the past 5 months were recorded as below.
Note: Assume the size of the business plants are similar across the locations
Administrative Cost ($ 000)
Melbourne
Sydney
Brisbane
Adelaide
500
620
750
450
650
550
690
370
690
720
550
500
750
490
700
600
500
600
700
450
At the 5% level of significance, is there evidence of a significant difference in mean operating cost across above locations? Use six steps process of hypothesis testing to answer the question.
Note – You must show all the calculations. Excel output will not be graded.
ANSWER:
Question 3 (10 marks)
Global pandemic during past 3 years impacts almost all the industries across the word. Most of the industries had substantial negative impact while few industries succeeded due to new business opportunities.
One another significant impact of global pandemic is the increasing inflation. Due to this Reserve Bank of Australia has increased cash rate 8 times during 2022. The impact of this rate hikes on real estate market is controversial. In order to assess this a research has gathered following data set over the last 10 months period related to one of the main builders in Melbourne.
Month
1
2
3
4
5
6
7
8
9
10
Interest rate(lending)
3.2%
3.1%
3.0%
3.3%
4.1%
4.2%
4.35%
4.65%
5.0%
5.2%
New contracts
200
215
250
220
180
175
200
190
195
200
a) Determine the regression line and predict the expected number of new contracts in this company if the lending interest rate go up to 5.35% in next month.
(5 marks)
ANSWER a:
b) Calculate the correlation coefficient between lending rate and new contracts and critically review the possible impact of further interest rate changes on construction industry (on prospective home owners, employees, employers in the construction industry. (5 marks)
ANSWER b:
Question 4 (10 marks)
Celinda Corporation is a plumbing service provider in Melbourne. Over the past 4 years company mean value per sales invoice was $240. As the chief accountant you need to inform the finance manager if this amount changes. Hence, you have gathered a sample of 12 invoices. According to that the mean $230 and the standard deviation is $44.
If the population of sales invoice is normally distributed, assess whether there is any change in mean sales (Sig level 5%).
ANSWER:
Question 5 (10 marks)
i. Critically review the different methods that can be used to assign probabilities and discuss the validity and practical application with relevant examples. (3 marks)
ANSWER i:
ii. Wonder land is a renowned service provider in leisure and entertainment. They introduced some offer for 2022 Christmas season with the target of attracting more customers and increasing company total revenue.
One such offer was reduced price accommodation passes. The table below provides information on 500 customers who visited them and whether they have used the accommodation pass or not.
Have you visited us before A
Whether they used reduced price accommodation pass? B
Yes B
No B-
Total
Yes A
210
70
280
No A -
110
110
220
Total
320
180
500
Based on the given information you are required to;
a. Calculate the probability of selecting a customer who has addended more than once and used the accommodation pass. (1 mark)
ANSWER ii (a):
b. Calculate the probability of selecting an either repeat attendee or attendee who used accommodation pass. (1.5 marks)
ANSWER ii (b):
c. Calculate the probability that customer has visited Wonder land before given that they have used the accommodation pass. (1.5 marks)
ANSWER ii (c):
d. Assess whether visiting Wonder land more than once and use of accommodation pass are independent events. (3 marks)
ANSWER ii (d):
END OF FINAL ASSESSMENT
Submission instructions:
Before you submit your assessment, please check the following:
· You have named your file with your Student Number and Unit Code e.g. EMV12345 HI6007
It is critical you follow this file name instruction to ensure the file belongs to you.
· You have saved your file in MICROSOFT WORD format only. No other format is accepted.
· You have checked you are submitting the correct document as special consideration is not granted if you make a mistake.
Once you have checked the above:
Upload your file to the appropriate link on Blackboard.
You have two attempts to submit your assessment with only the final submission being marked.
** Note: All submissions are automatically passed through SafeAssign to assess academic integrity.
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